Mathematics Winter School 

14/03/2024, 15:45 — 16:00 — Room P3.10, Mathematics Building Online
Diogo Oliveira e Silva, Instituto Superior Técnico

The Sphere Packing Problem

The sphere packing problem asks for the densest packing of congruent solid spheres in d-dimensional Euclidean space. Until recently, optimal sphere packings were only known in dimensions 1, 2 and 3. On March 14, 2016, Maryna Viazovska announced a proof in dimension $d=8$ which stirred the world of mathematics.

The aim of this talk is to introduce the sphere packing problem and to describe some of the analytic tools that have led to progress in the field.

See also

15H45_DOS_h.pdf